Mechanics

A car starts from rest and accelerates uniformly at 2 m/s². What is its velocity after 5 seconds?

A stone is thrown vertically upward with a speed of 20 m/s. How long does it take to reach the highest point? (Take g = 10 m/s²)

A body of mass 5 kg is moving with a velocity of 10 m/s. What is its kinetic energy?

A particle moves in a circle of radius 0.5 m with a constant speed of 4 m/s. What is its centripetal acceleration?

A projectile is launched at an angle of 45° with the horizontal with an initial speed of 20 m/s. What is the horizontal range? (g = 10 m/s²)

Two blocks of masses 3 kg and 5 kg are connected by a light string and placed on a frictionless horizontal surface. A force of 16 N is applied to the 5 kg block. What is the acceleration of the system?

A block slides down a frictionless incline of height 10 m. What is its speed at the bottom? (Take g = 10 m/s²)

A particle moves such that its displacement x varies with time t as x = 4t³ - 3t² + 2. What is its acceleration at t = 2 s?

A particle is projected horizontally from a height of 45 m with a speed of 15 m/s. How far from the base of the cliff will it land? (Take g = 9.8 m/s²)

A force F = (3i + 4j) N acts on a particle that moves from the origin to the point (2,3). What is the work done by the force?